Robustness and Vulnerability of Networks with Dynamical Dependency Groups.

Abstract:

:The dependency property and self-recovery of failure nodes both have great effects on the robustness of networks during the cascading process. Existing investigations focused mainly on the failure mechanism of static dependency groups without considering the time-dependency of interdependent nodes and the recovery mechanism in reality. In this study, we present an evolving network model consisting of failure mechanisms and a recovery mechanism to explore network robustness, where the dependency relations among nodes vary over time. Based on generating function techniques, we provide an analytical framework for random networks with arbitrary degree distribution. In particular, we theoretically find that an abrupt percolation transition exists corresponding to the dynamical dependency groups for a wide range of topologies after initial random removal. Moreover, when the abrupt transition point is above the failure threshold of dependency groups, the evolving network with the larger dependency groups is more vulnerable; when below it, the larger dependency groups make the network more robust. Numerical simulations employing the Erdős-Rényi network and Barabási-Albert scale free network are performed to validate our theoretical results.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Bai YN,Huang N,Wang L,Wu ZX

doi

10.1038/srep37749

subject

Has Abstract

pub_date

2016-11-28 00:00:00

pages

37749

issn

2045-2322

pii

srep37749

journal_volume

6

pub_type

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